Y-coretractable and Strongly Y-coretractable Modules
Keywords:
coretractable module, Y-coretractable module, C-coretractable moduleAbstract
Let R be a ring with identity and M be an R-module with unitary . In this paper we introduce the notion of Y-coretractable module . Some basic properties of this class of modules are investigated and some relationships between these modules and other related concepts are introduced .References
B. Amini ˛, M. Ershad, and H. Sharif, “CORETRACTABLE MODULES,†J. Aust. Math. Soc, vol. 86, no. 3, pp. 289–304, 2009.
I. Mohammed and A. Hadi, “Strongly Coretractable Modules,†Iraqi J. Sci. ( to Appear ), pp. 1–9.
I. Mohammed Ali Hadi and S. Neamah Al-aeashi, “C-CORETRACTABLE AND STRONGLY C-CORETRACTABLE MODULES.†, International J. of pure and apllied math. (to appear) .
S. Asgari, & A. Haghany, and A. Haghany, “t-Extending Modules and t-Baer Modules,†Commun. Algebr. ®, 2011.
S. A. Al-saadi " S-Extending Modules And Related Concepts " Ph.D. Thesis, Al-Mustansiriya University, Baghdad,Iraq, 2007.
Z.Qing-yi , " On Generalized Extending Modules " , J. of Zhejiang University Science , 1862-1755 (on line).
E.Akalan,G.F.Birkenmeier and A.Tarcan,"Goldie Extending Modules ",Comm.in Algebra,663- 683,37,2,(2009) .
L.H.Sahib," Extending , Injectivity and Chain Conditions On Y-closed Submodules" , M.sc. Thesis, University Of Baghdad , Iraq, 2012.
K.R. Goodearl " Ring Theory , Nonsingular Rings and Modules ". New York,Marcel Dekker, 1976.
Z.T.Al-Zubaidey,"On Purely Extending Modules", Msc.Thesis , Univ. of Baghdad , Iraq , 2005.
I.M.Ali Hadi , Sh. N. Al-aeashi," Strongly Coretractable Modules and Related Concepts", Journal Of Advances In Mathematics , Vol. 12, No. 12 , Pp.6881-6888 . 2016 .
A.Tercan ,"On CLS-Modules" ,Rocky Mountain J.Math. 25(1995).
Downloads
Published
Issue
Section
License
Copyright © The Author(s). This article is published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.